A046185 A B2-sequence due to Rachel Lewis.

1, 2, 4, 8, 13, 21, 31, 45, 66, 81, 97, 123, 148, 182, 204, 252, 291, 324, 352, 415, 486, 540, 651, 706, 781, 864, 963, 1003, 1148, 1217, 1371, 1409, 1523, 1673, 1974, 2105, 2191, 2317, 2496, 2652, 2726, 2858, 3219, 3268, 3500, 3605, 3864, 3962, 4237

Offset

0,2

Comments

"The first 68 elements of the sequence are [given], then the greedy algorithm is used." For this B2-sequence: "The reciprocal sum is at least 2.16086," greater than that of the Mian-Chowla sequence (A005282), which is at most 2.158533. - Danny Rorabaugh (with quotes by Rachel Lewis), Sep 29 2015

References

Steven R. Finch, Mathematical Constants, Cambridge, 2003, pp. 163-166, with section 2.20.2, Mian-Chowla and B2-Sequences

Links

Danny Rorabaugh, Table of n, a(n) for n = 0..848

Steven R. Finch, Erdos's Reciprocal Sum Constants [Broken link]

Steven R. Finch, Erdos's Reciprocal Sum Constants [From the Wayback machine]

Rachel Lewis, Mian-Chowla and B2 sequences, 1999. [Thanks to Steven Finch for providing this document. Included with permission. - N. J. A. Sloane, Jan 02 2020]

Eric Weisstein's World of Mathematics, B2 Sequence

Formula

For n>67, a(n) is the least number such that all pairwise differences of distinct elements of {a(0), ..., a(n)} are distinct. - Danny Rorabaugh, Sep 29 2015

Crossrefs

Cf. A005282.

Sequence in context: A026039 A004978 A005282 * A259964 A218913 A349061

Adjacent sequences: A046182 A046183 A046184 * A046186 A046187 A046188

Keyword

nonn

Author

Eric W. Weisstein

Extensions

a(34) corrected by Steven Finch in email with Danny Rorabaugh, Sep 29 2015

Status

approved